RT journal article
T1 Topological Ordered Rings and Measures
A1 García Pacheco, Francisco Javier
A1 Moreno Frías, María Ángeles
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 radon measures
K1 ring order
K1 topological ordered modules
K1 Topological ordered rings
AB Given a ring endowed with a ring order, we provide sufficient conditions for the order topology induced by the ring order to become a ring topology (analogous results for module orders are consequently derived). Finally, the notions of Radon and regular measures are transported to the scope of module-valued measures through module orders. Classical characterizations of these measures are obtained as well as the hereditariness of regularity for conditional ring-valued measures.
PB Springer
SN 1422-6383
YR 2023
FD 2023-08-19
LK http://hdl.handle.net/10498/31352
UL http://hdl.handle.net/10498/31352
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026